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Finding the Fourth Proportional to 1,409.95, 2,114.39 and 565.39

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Solution

The fourth proportional to 1,409.95, 2,114.39 and 565.39 is: 847.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.95 : 2,114.39 = 565.39 : x
  2. Step 2: Convert to fraction form
    1,409.95/2,114.39 = 565.39/x
  3. Step 3: Cross multiply
    1,409.95x = 2,114.39 × 565.39
  4. Step 4: Simplify right side
    1,409.95x = 1,195,454.96
  5. Step 5: Solve for x
    x = 1,195,454.96/1,409.95
  6. Step 6: Final answer
    x = 847.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.